document.write( "Question 1079080: After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1987​, the hay in that country was contaminated by a radioactive isotope​ (half-life 6 ​days). If it is safe to feed the hay to cows when 88​% of the radioactive isotope is​ gone, how long did the farmers need to wait to use this​ hay? \n" ); document.write( "
Algebra.Com's Answer #693445 by Boreal(15235)\"\" \"About 
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P=Poe^(-kt)
\n" ); document.write( "1/2=e^(-6k)
\n" ); document.write( "ln of both sides
\n" ); document.write( "-0.693=-6k
\n" ); document.write( "k=0.1155
\n" ); document.write( "0.12=e^(-.1155*t)
\n" ); document.write( "ln of both sides
\n" ); document.write( "-2.12=-.1155t
\n" ); document.write( "t=18.35 days.
\n" ); document.write( "Check.
\n" ); document.write( "half gone in 6 days
\n" ); document.write( "three-quarters gone in 12 days
\n" ); document.write( "seven-eights gone i 18 days. (0.125)
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